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Step-by-step explanation:
2a , 2a , 2a
let hight be H
Sides of the right angle triangle formed will be
2a = Hypotenuse
a= base
H = Hight
H^2 + a^2 = (2a)^2
H^2 = 4a^2 - a^2
H^2 = 3a^2
H = a √3
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Answer:
height of an equilateral triangle having side 2a is a
Step-by-step explanation:
in triangle abc
draw a perpendicular ad on base bc
now,
in right angled triangle abd
(ab)^2=(bd)^2+(ad)^2
(2a)^2=(a)^2+(ad)^2
2a^2=a^2+(ad)^2
2a^2-a^2=(ad)^2
a^2=(ad)^2
a=ad
therefore ad=a
hope it's help u!!!!
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